BACKGROUND OF THE INVENTION
The invention relates to a voltage-current converter comprising, between a first and a second supply terminal, a first current source coupled at one end by means of a first transistor arranged as a diode to a first terminal for conveying a reference potential and at the other end by means of a second transistor arranged as a diode to a second terminal. A series arrangement of an input port for applying a signal voltage and a first resistor for converting the signal voltage into a signal current are provided between the first and the second terminal, the converter further comprises third and fourth transistors whose bases are coupled to the first and the second terminal, respectively, the emitters being connected by means of a common second current source to the second supply terminal and the collector of at least one of the third and fourth transistors constituting an output for supplying an output current which is proportional to the signal current. The converter also comprising a correction circuit for correcting the non-linearity in the voltage-current conversion due to the non-linear emitter resistors of the first and second transistors.
A voltage-current converter of this type can be generally used and is particularly suitable for use in a device for measuring the effective value of a signal voltage.
A voltage-current converter of this type is known from U.S. Pat. No. 4,268,759. In this converter the first and the second transistor convey the same bias current. Since the first terminal is connected to ground, the second terminal constitutes a virtual ground. The signal voltage which is converted into a signal current across the first resistor is superposed on the bias currents of the first and second transistors. Together with the first and the second transistor, the third and the fourth transistor constitute a so-called translinear circuit in which the signal currents of the first and the second transistor are transferred in an amplified manner to the third and fourth resistor.
In this converter the non-linear emitter resistors of the first and the second transistor produce a linearity error in the voltage-current conversion. In order to correct this error the known converter comprises a correction circuit which is constituted by two transistors having their bases and collectors cross-coupled and in which one transistor is connected between the emitter of the first transistor and the first terminal and the other transistor is connected between the emitter of the second transistor and the second terminal.
A drawback of this correction circuit is, however, that at relatively high frequencies of the order of several tens of MHz it has a resonant rise effect causing errors in the voltage-current conversion.
SUMMARY OF THE INVENTION
It is therefore the object of the invention to provide a voltage-current converter which has a linear voltage-current conversion over a relatively large frequency range. According to the invention a voltage-current converter of the type described in the opening paragraph is characterized in that the correction circuit is constituted by a circuit having a first input terminal which is coupled to the first terminal and the second input terminal which is coupled to the second terminal, and which has a negative input impedance whose resistance is substantially equal to that of the first resistor. The negative resistance of the correction circuit compensates for the non-linearity in the voltage-current conversion caused by the non-linearity of the emitter resistors of the first and the second transistor. Unlike the circuit in the known converter since the correction circuit is not incorporated in the signal path of the first and second transistor, the correction circuit does not influence the voltage-current conversion. The conversion is therefore linear over a large frequency range.
An embodiment of a correction circuit may be characterized in that the correction circuit is constituted by a fifth transistor whose collector is coupled to the first terminal and whose emitter is connected to one end of a second resistor and by means of a third current source of the second supply terminal, and is constituted by a sixth transistor whose collector is coupled to the second terminal and whose emitter is connected to the other end of the second resistor and by means of a fourth current source to the second supply terminal, the base of the fifth transistor being connected to the collector of the sixth transistor and the base of the sixth transistor being connected to the collector of the fith transistor.
According to a further embodiment this correction circuit may be characterized in that the collector of the fifth transistor is connected by means of a seventh transistor arranged as a diode to the first terminal and in that the collector of the sixth transistor is connected to the second terminal by means of an eighth transistor arranged as a diode. The seventh and eighth transistors correct the non-linearity of the correction circuit caused by the non-linearity of the emittor resistors of the fifth and sixth transistors.
A further embodiment may be characterized in that the third transistor and the fourth transistor are arranged in cascode with a ninth and tenth transistor, respectively, whose bases are connected to the bases of the first and the second transistors. By virtue of the cascode arrangements the Early effect of the third and the fourth transistors is reduced.
A further embodiment is characterized in that the second terminal is coupled to a fifth current source for supplying a current which compensates for the base current of the third and the fourth transistors. Due to this extra current source errors caused in the conversion by the base currents of the third and the fourth transistors are prevented.
BRIEF DESCRIPTION OF THE DRAWINGS
The invention will now be described in greater detail with reference to the accompanying drawing in which:
FIG. 1 shows an embodiment of a voltage-current converter according to the invention, and
FIG. 2 is a simplified circuit diagram to explain the operation of the converter of FIG. 1.
DESCRIPTION OF THE PREFERRED EMBODIMENTS
FIG. 1 shows an embodiment of a voltage-current converter according to the invention. The converter includes a first current source I1 =2I0 which is connected to the positive supply terminal 10 and has its output connected to a transistor T1 arranged as a diode and a transistor T2 arranged as a diode. The emitter of transmitter T1 is connected to a first terminal 1 and the emitter of transmitter T2 is connected to a second terminal 2. Arranged between these terminals 1 and 2 is the series arrangement of a signal voltage source V which is provided between an input part consisting of input terminals 3 and 4 and a first resistor R1 =R. The terminal 1 is also connected to the base of a transistor T3 and the terminal 2 is connected to the base of a transistor T4. The emitters of these transistors T3, T4 are connected via a common current source I2 =2Ix to the negative supply terminal 20. The transistors T3 and T4 are each arranged in cascode with a transistor T9 and a transistor T10, respectively. The bases of these transistors T9, T10 are connected to the bases of transistors T1 and T2. The collector of transistor T9 constitutes the one output 30 and the collector of transistor T10 constitutes the other output 40 of the converter. The converter also comprises a correction circuit 5 which is provided with two transistors T5 and T6 whose bases are cross-coupled to the collectors. A second resistor R2 =R is arranged between the emitters of these transistors T5, T6. The emitter of transistor T.sub. 5 is connected to the negative supply terminal 20 by means of a third current source I3 =I0 and the emitter of transistor T6 is connected to the negative supply terminal 20 by means of a fourth current source I4 =I0.
To explain the operation of the circuit arrangement the correction circuit is initially not dealt with and the transistors T1 and T2 are assumed to have no influence on the voltage-current conversion. In the rest condition a current I0 flows through the transistors T1 and T2 and a current Ix flows through the transistors T3 and T4. When an input voltage V is applied, a signal current i flows through resistor R1, which current also flows through the transistors T1 and T2. A current IT1 =I0 +i then flows through transistors T1 and a current IT2 =I0 -i flows through transistor T2. The transistors T1 to T4 constitute a so-called translinear circuit in which the sum of the base-emitter voltage is equal to zero. The following relation applies to the circuit.
V.sub.BET1 +V.sub.BET3 =V.sub.BET2 +V.sub.BET4 (1)
in which VBE is the base emitter voltage of the relevant transistor. With the known exponential relation between the collector circuit and the emitter voltage and assuming that the transistors have equal emitter surfaces, it follows from the above mentioned question that:
I.sub.T1 ·I.sub.T3 =I.sub.T2 ·I.sub.T4 (2)
With the equations for the current IT1 and IT2 it then follows for the currents through the transistors T3 and T4 that: ##EQU1## This equation shows that the signal current i through the translinear circuit T1 to T4 becomes available in the differential form and by suitable choice of the ratio of the basis current Ix and Io becomes available in an amplified form. The currents IT3 and IT4 are conveyed via the cascode transistors T9 and T10 to the outputs 30 and 40, respectively. The transistors T9 and T10 prevent these currents being detrimentally influenced by the Early effect in the transistors T3 and T4.
The voltage-current conversion has a non-linearity which is caused by the non-linear and signal value-dependent emitter resistors of the transistors T1 and T2. This non-linearity is corrected by the correction circuit 5 which has a negative input impedance -R between its input terminals 1 and 2. This is evident as follows. If a direct voltage U is applied between the input terminals 1 and 2 of the correction circuit, at which voltage the terminal 2 is positive relative to terminal 1, a current Io +i flows through transistors T8 and T6, a current Io -i flows through the transistors T7 and T5 and only the signal current i flows through resistor R2 =R. The following equation then applies to the correction circuit:
U=V.sub.BET8 +V.sub.BET5 -i·R-V.sub.BET6 -V.sub.BET7 (4)
with VBET6 =VBET8 and VBET5 =VBET7 it follows that
U=-i·R or U/i=-R (5)
The correcting effect of the correction circuit 5 will be explained with reference to FIG. 2 in which this circuit is diagrammatically represented by a negative resistor -R and the total non-linear signal dependent emitter resistor of the transistors T1 and T2 is represented by a resistor rd. If i1 is the current through resistor R, i2 is the current through resistor -R and i is the current through resistor rd, the following equations apply:
V-i.sub.1 R-ir.sub.d =0 and
V-i.sub.1 R+i.sub.2 ·R=0 (6)
With i1 =i+i2 it follows that ##EQU2## thus obtaining:
i=V/R (8)
The signal current i through the transistors T1 and T2 is thus independent of the non-linear resistance rd of the transistors T1 and T2 and increases linearly with the input voltage V. It is to be noted that the transistors T7 and T8 arranged as a diode correct the non-linearity of the correction circuit 5 themselves, which non-linearity is caused by the non-linear emitter resistors of the transistors T5 and T6. This is simply evident from equation 4.
The influence of the base currents of transistors T3 and T4 on the voltage-current conversion is reduced by a current source I5 supplying the base currents for these transistors.
The voltage-current converter shown in FIG. 1 has a linearity error which is less than 1% in the frequency range of 0-30 MHz.
The invention is not limited to the embodiment described. Instead of the compensation circuit shown other compensation circuits having a negative input resistance may be alternatively used.